In this paper, we shall assume that the ambient manifold is a pseudo-Riemannian space
form N tm+ 1 (c) of dimension m+ 1 and index t (m≥ 2 and 1≤ t≤ m). We shall study …

This manuscript develops a framework for the strong approximation of Sobolev maps with
values in compact manifolds, emphasizing the interplay between local and global …

In this paper we shall consider polyharmonic hypersurfaces of order r (briefly, r-harmonic
hypersurfaces), where r≥ 3 is an integer, into a space form N m+ 1 (c) of curvature c. For this …

In this paper we study triharmonic hypersurfaces immersed in a space form N n+ 1 (c). We
prove that any proper CMC triharmonic hypersurface in the sphere S n+ 1 has constant …

A structure theorem for polyharmonic maps between Riemannian manifolds - ScienceDirect Skip
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More Weakly Biharmonic Maps from the Ball to the Sphere | The Journal of Geometric Analysis
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This article is concerned with the stability of triharmonic maps and in particular triharmonic
hypersurfaces. After deriving a number of general statements on the stability of triharmonic …

We first prove that, unlike the biharmonic case, there exist triharmonic curves with
nonconstant curvature in a suitable Riemannian manifold of arbitrary dimension. We then …

In this paper, triharmonic hypersurfaces with constant mean curvature in pseudo-
Riemannian space forms are studied. Under the assumption that the shape operator is …

In the first part of this paper we shall classify proper triharmonic isoparametric surfaces in 3-
dimensional homogeneous spaces (Bianchi-Cartan-Vranceanu spaces, shortly BCV …